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Finding the Fourth Proportional to 810.07, 1,214.06 and 347.72

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Solution

The fourth proportional to 810.07, 1,214.06 and 347.72 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.07 : 1,214.06 = 347.72 : x
  2. Step 2: Convert to fraction form
    810.07/1,214.06 = 347.72/x
  3. Step 3: Cross multiply
    810.07x = 1,214.06 × 347.72
  4. Step 4: Simplify right side
    810.07x = 422,145.13
  5. Step 5: Solve for x
    x = 422,145.13/810.07
  6. Step 6: Final answer
    x = 521.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.